Pascal’s rule

Pascal’s rule is the binomial identity

$$\left(\genfrac{}{}{0pt}{}{n}{k}\right)+\left(\genfrac{}{}{0pt}{}{n}{k-1}\right)=\left(\genfrac{}{}{0pt}{}{n+1}{k}\right)$$

where $1\le k\le n$ and $\left(\genfrac{}{}{0pt}{}{n}{k}\right)$ is the binomial coefficient.

Title	Pascal’s rule
Canonical name	PascalsRule
Date of creation	2013-03-22 11:46:44
Last modified on	2013-03-22 11:46:44
Owner	KimJ (5)
Last modified by	KimJ (5)
Numerical id	10
Author	KimJ (5)
Entry type	Theorem
Classification	msc 05A19
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